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32038135313 = 376114195009
BaseRepresentation
bin11101110101100111…
…110010011000010001
310001200210101220102012
4131311213302120101
51011103230312223
622415040232305
72212635441212
oct356547623021
9101623356365
1032038135313
1112650768288
12626160b695
133037702322
14179cdcd409
15c77a20c78
hex7759f2611

32038135313 has 8 divisors (see below), whose sum is σ = 33443443560. Its totient is φ = 30661217280.

The previous prime is 32038135243. The next prime is 32038135321. The reversal of 32038135313 is 31353183023.

It can be written as a sum of positive squares in 4 ways, for example, as 9206018704 + 22832116609 = 95948^2 + 151103^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32038135313 - 232 = 27743168017 is a prime.

It is a super-2 number, since 2×320381353132 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 32038135313.

It is not an unprimeable number, because it can be changed into a prime (32038135333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7095248 + ... + 7099761.

It is an arithmetic number, because the mean of its divisors is an integer number (4180430445).

Almost surely, 232038135313 is an apocalyptic number.

It is an amenable number.

32038135313 is a deficient number, since it is larger than the sum of its proper divisors (1405308247).

32038135313 is a wasteful number, since it uses less digits than its factorization.

32038135313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14195107.

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 32038135313 in words is "thirty-two billion, thirty-eight million, one hundred thirty-five thousand, three hundred thirteen".

Divisors: 1 37 61 2257 14195009 525215333 865895549 32038135313